Hausdorff dimension and exact approximation order in ${\mathbb{R}}^n$

Prasuna Bandi, Nicolas de Saxcé

Given a non-increasing function $\psi :\mathbb{N}\to {\mathbb{R}}^{+}$ such that $s^{\frac{n+1}{n}}\psi (s)$ tends to zero as $s$ goes to infinity, we show that the set of points in $\math…